Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results

Pullback exponential attractors for evolution processes in Banach spaces: Theoretical results
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DOI:
10.3934/cpaa.2013.12.3047
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发表时间:
2013-05
影响因子:
1
通讯作者:
A. Carvalho;S. Sonner
A. Carvalho;S. Sonner
中科院分区:
数学4区
文献类型:
--
作者:
A. Carvalho;S. Sonner

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本文构造了Banach空间中时间连续渐近紧发展过程的指数拉回吸引子,并给出了吸引子的分形维数的估计。我们还讨论了自治过程的相应结果。
We construct exponential pullback attractors for time continuous asymptotically compact evolution processes in Banach spaces and derive estimates on the fractal dimension of the attractors. We also discuss the corresponding results for autonomous processes.